Oscillatory convection and chaos in a Lorenz-type model of a rotating fluid
- Univ. of Manchester (England)
A four-mode model of convection in a rotating fluid layer is studied. The model is an extension of the Lorenz model of Rayleigh-Benard convection, the extra mode accounting for the regeneration of vorticity by rotation. Perturbation theory is applied to show that the Hopf bifurcations from conductive and steady convective solutions can be either supercritical or subcritical. Perturbation theory is also used at large Rayleigh numbers r to predict novel behavior. Supercritical oscillatory convection of finite amplitude is found by numerical integration of the governing equations. The general picture is of a series of oscillatory solutions stable over large r intervals, interspersed by short bursts of chaos.
- OSTI ID:
- 6196356
- Journal Information:
- Journal of Statistical Physics; (USA), Vol. 56:5-6; ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONVECTION
STATISTICAL MECHANICS
FLOW MODELS
COMPUTERIZED SIMULATION
EQUATIONS OF MOTION
FLUID MECHANICS
FLUIDS
INSTABILITY
LAMINAR FLOW
NONLINEAR PROBLEMS
OSCILLATIONS
PERTURBATION THEORY
ROTATION
RUNGE-KUTTA METHOD
THERMAL CONDUCTION
THERMAL DIFFUSIVITY
TRANSITION FLOW
TURBULENT FLOW
VISCOSITY
VORTEX FLOW
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
FLUID FLOW
HEAT TRANSFER
ITERATIVE METHODS
MASS TRANSFER
MATHEMATICAL MODELS
MECHANICS
MOTION
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
SIMULATION
THERMODYNAMIC PROPERTIES
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics